Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred afternoon classes given he or she is a senior. Round to the nearest thousandth. (1 point)
Responses
0.395
0.395
0.116
0.116
0.184
0.184
0.464
To find the probability that a student preferred afternoon classes given he or she is a senior, we need to look at the data for seniors who preferred afternoon classes.
Number of seniors who preferred afternoon classes = 0.184
Total number of seniors = 0.184 + 0.464 = 0.648
Probability of a senior student preferring afternoon classes = 0.184 / 0.648 = 0.284
Therefore, the probability that the student preferred afternoon classes given he or she is a senior is 0.284.